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Finding the Fourth Proportional to 9,848.60, 14,748.60 and 6,543.80

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Solution

The fourth proportional to 9,848.60, 14,748.60 and 6,543.80 is: 9,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.60 : 14,748.60 = 6,543.80 : x
  2. Step 2: Convert to fraction form
    9,848.60/14,748.60 = 6,543.80/x
  3. Step 3: Cross multiply
    9,848.60x = 14,748.60 × 6,543.80
  4. Step 4: Simplify right side
    9,848.60x = 96,511,888.68
  5. Step 5: Solve for x
    x = 96,511,888.68/9,848.60
  6. Step 6: Final answer
    x = 9,799.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.